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30444144 = 2431737309
BaseRepresentation
bin111010000100…
…0101001110000
32010021201111220
41310020221300
530243203034
63004305040
7516525303
oct164105160
963251456
1030444144
1116204155
12a242180
1363cc1b3
144086b3a
152a15749
hex1d08a70

30444144 has 40 divisors (see below), whose sum is σ = 83275920. Its totient is φ = 9550848.

The previous prime is 30444143. The next prime is 30444163. The reversal of 30444144 is 44144403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30444143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17839 + ... + 19470.

It is an arithmetic number, because the mean of its divisors is an integer number (2081898).

Almost surely, 230444144 is an apocalyptic number.

30444144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30444144 is an abundant number, since it is smaller than the sum of its proper divisors (52831776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30444144 is a wasteful number, since it uses less digits than its factorization.

30444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37337 (or 37331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 30444144 is about 5517.6212265794. The cubic root of 30444144 is about 312.2491435345.

Adding to 30444144 its reverse (44144403), we get a palindrome (74588547).

The spelling of 30444144 in words is "thirty million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 37309 74618 111927 149236 223854 298472 447708 596944 634253 895416 1268506 1790832 1902759 2537012 3805518 5074024 7611036 10148048 15222072 30444144